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- W2062688211 abstract "This paper is an attempt to find out which properties of a finite group G can be expressed in terms of commutators of elements of coprime orders. A criterion of solubility of G in terms of such commutators is obtained. We also conjecture that every element of a nonabelian simple group is a commutator of elements of coprime orders and we confirm this conjecture for the alternating groups." @default.
- W2062688211 created "2016-06-24" @default.
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- W2062688211 date "2012-08-15" @default.
- W2062688211 modified "2023-09-23" @default.
- W2062688211 title "Commutators of elements of coprime orders in finite groups" @default.
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